Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1181/60, 2551/255 quickly i.e. 3012731/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1181/60, 2551/255 is 3012731/15.
LCM(1181/60, 2551/255) = 3012731/15
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1181/60,2551/255
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 1181,2551
Least Common Multiple of Numerators i.e. LCM of 1181,2551 is 3012731.
GCF of Denominators means GCF of 60,255 as per the given fractions.
GCF of 60,255 is 15 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1181,2551
Given numbers has no common factors except 1. So, there LCM is their product i.e 3012731
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 1181,2551 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1181,2551) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1181,2551) x common factors =1 x 1 = 1
LCM(1181,2551) = ( 1181 × 2551 ) / 1
LCM(1181,2551) = 3012731 / 1
LCM(1181,2551) = 3012731
Lets's calculate GCF of 60,255
3 | 60, 255 |
5 | 20, 85 |
4, 17 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3012731/15
Therefore the LCM of Fractions 1181/60,2551/255 is 3012731/15
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 255
List of positive integer factors of 255 that divides 255 without a remainder.
1,3,5,15,17,51,85,255
Greatest Common Factor
We found the factors 60,255 . The biggest common factor number is the GCF number.
So the greatest common factor 60,255 is 15.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 1181/60, 2551/255?
Answer: LCM of Numerators as per given numbers 1181/60, 2551/255 is
LCM of Numerators i.e. for 1181,2551 is 3012731
GCF of denominators i.e. for 60,255 is 15.
Thus, LCM of Fractions is 3012731/15.Finally, LCM of Fractions for 1181/60, 2551/255 is 3012731/15.